Characterization of matrices $B$ such that $(I,B,B^2)$ generates a digital net with $t$-value zero
Number Theory
2018-07-16 v1
Abstract
We study -dimensional digital nets over generated by matrices where is the identity matrix and is a square matrix. We give a characterization of for which the -value of the digital net is . As a corollary, we prove that such satisfies .
Cite
@article{arxiv.1801.02152,
title = {Characterization of matrices $B$ such that $(I,B,B^2)$ generates a digital net with $t$-value zero},
author = {Hiroki Kajiura and Makoto Matsumoto and Kosuke Suzuki},
journal= {arXiv preprint arXiv:1801.02152},
year = {2018}
}